Plum Island offers miles of public sandy beaches and the Parker River National Wildlife Refuge, home to over 800 species of birds, plants and animals on 4,662 acres. Sandy Point on the southern tip of Plum Island is a State Park and a wonderful place to swim, sun yourself or go tidepooling. Parking is available at the Refuge, the Point or in private parking lots. Fee Charged. Refuge information (978) 465-5753.